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Finding the Fourth Proportional to 4,257, 5,870.88 and 2,763.50

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Solution

The fourth proportional to 4,257, 5,870.88 and 2,763.50 is: 3,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257 : 5,870.88 = 2,763.50 : x
  2. Step 2: Convert to fraction form
    4,257/5,870.88 = 2,763.50/x
  3. Step 3: Cross multiply
    4,257x = 5,870.88 × 2,763.50
  4. Step 4: Simplify right side
    4,257x = 16,224,147.53
  5. Step 5: Solve for x
    x = 16,224,147.53/4,257
  6. Step 6: Final answer
    x = 3,811.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.